Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/655, 2528/6945 quickly i.e. 22752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/655, 2528/6945 is 22752.
LCM(45/655, 2528/6945) = 22752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/655,2528/6945
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 45,2528
Least Common Multiple of Numerators i.e. LCM of 45,2528 is 113760.
GCF of Denominators means GCF of 655,6945 as per the given fractions.
GCF of 655,6945 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,2528
Given numbers has no common factors except 1. So, there LCM is their product i.e 113760
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 45,2528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,2528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(45,2528) x common factors =1 x 1 = 1
LCM(45,2528) = ( 45 × 2528 ) / 1
LCM(45,2528) = 113760 / 1
LCM(45,2528) = 113760
Lets's calculate GCF of 655,6945
5 | 655, 6945 |
131, 1389 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113760/5
Therefore the LCM of Fractions 45/655,2528/6945 is 22752
Factors of 655
List of positive integer factors of 655 that divides 655 without a remainder.
1,5,131,655
Factors of 6945
List of positive integer factors of 6945 that divides 6945 without a remainder.
1,3,5,15,463,1389,2315,6945
Greatest Common Factor
We found the factors 655,6945 . The biggest common factor number is the GCF number.
So the greatest common factor 655,6945 is 5.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 45/655, 2528/6945?
Answer: LCM of Numerators as per given numbers 45/655, 2528/6945 is
LCM of Numerators i.e. for 45,2528 is 113760
GCF of denominators i.e. for 655,6945 is 5.
Thus, LCM of Fractions is 22752.Finally, LCM of Fractions for 45/655, 2528/6945 is 22752.